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Talja [164]
3 years ago
7

How many seconds will it take for the penny to hit the ground?

Mathematics
1 answer:
Nina [5.8K]3 years ago
8 0

Answer:

1 second

Step-by-step explanation:

-16t^2+16=0\\-16t^2=-16\\t^2=1\\t=1

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What is the GCF?<br>6x² + 24x<br>​
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Answer:

6x

6x(x + 4)

Step-by-step explanation:

Both 6x^2 and 24x are divisible by 6x

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3 years ago
It takes a hose 5 minutes to fill a rectangular aquarium 11 inches long, 13 inches wide, and 14 inches tall. how long will it ta
Karolina [17]
Volume of 1st aquarium = 11 * 13 * 14 = 2002
volume of 2nd aquarium = 21 * 14 * 30 = 8820

if 5 minutes = 2002
1 minute = 2002\5 = 400.4

minutes to fill the 2nd aquarium is 8820/400.4 = 22.028(approximately)

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3 years ago
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Step-by-step explanation:

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In an auditorium, a charity show is conducted in order to raise at least $3,750. The auditorium can accommodate up to 180 specta
Maksim231197 [3]

Answer:

See explanation

Step-by-step explanation:

Let x,\ x\ge 0 be the number of students and y,\ y\ge 0 be the number of adults on the show.

1. Tickets cost $15 for students, so x student tickets cost $15x.

Tickets cost $25 for adults, so y adult tickets cost $25y.

Total cost of all tickets is $(15x + 25y).

The charity show is conducted in order to raise at least $3,750, thus

15x+25y\ge 3,750

2. The auditorium can accommodate up to 180 spectators, hence

x+y\le 180

3. We get the system of inequalities:

\left\{\begin{array}{l}x\ge 0\\y\ge 0\\x+y\le 180\\15x+25y\ge 3,750\end{array}\right.

Plot all solutions sets to each inequality and the common region is the solution set to the system of inequalities. This region is not empty, so the charity will reach its goal. For example, if they sell 50 students tickets and 125 adult tickets, they will raise \$(15\cdot 50+25\cdot 125)=\$3,875

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3 years ago
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80 is the kilometers question

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